A fast-food restaurant has identified three primary groups willing to purchase its meals. However, customers are willing to purchase only one meal each. The table shows the total number of meals bought at three different prices. The number of consumers is the total number of buyers at each price level.

The restaurant can produce a meal with no fixed costs and a constant marginal cost of $1 per unit.

1st attempt

Part 1   (2 points)

If the restaurant charges only one price for the meal, it will charge   $--- and receive a profit of   $ -----.

Part 2   (2 points)

Assume the firm can distinguish between customers and has the ability to charge different customers different prices. If the restaurant can perfectly price-discriminate, the highest price it will charge is   $ ----- . The total profits under perfect price discrimination are   $ ----- .

Part 3   (2 points)

Assume the firm can distinguish between customers and has the ability to charge different customers different prices. If the restaurant charges two prices, it will charge $-----and $-------.

and receive a profit of   $-------.

Write the following classes: Class Entry: 1. Implement the class Entry that has a name (String), phoneNumber (String), and address (String). 2. Implement the initialization constructor . 3. Implement the setters and getters for all attributes. 4. Implement the toString() method to display all attributes. 5. Implement the equals (Entry other) to determine if two entries are equal to each other. Two entries are considered equal if they have the same name, phoneNumber, and address. 6. Implement the compareTo (Entry other) method that returns 0 if the two entries have the same number, -1 if this.number is smaller than other.number, and + 1 if this.number is > other.number Class PhoneBook 1. Implement the class PhoneBook that has a city (String), type (String), entryList (an Array of Entry). Assume the array size = 10 2. Implement the constructors to initialize the city and type. 3. Implement the method addEntryToPhoneBook(Entry e) that adds an entry to the phone book. 4. Implement the method toString() that displays all attributes and all enties information of the phone book. 5. Implement the method displayAll() that displays all entries in the phone book. 6. Implement the method checkEntryByNumber(String number) that takes a number and returns the entry with that number if it exists. 7. Implement the method checkEntrisByName(String name) that takes a name, and returns an array of the entries that start with this name or letters. 8. Implement the method removeEntryFromPhoneBook (String number) that removes an entry from the array of entires in the phone book. Class TestPhoneBook 1. Create a phone book and initialize its attributes. 2. Add 5 entries to the phone book list using the method addEntryToPhoneBook() 3. Display all entries in the phone book. 4. Display the entry information for a given phone number if it exists. Give the appropriate message if it does not exist. 5. Display all entries starting with the letters "Abd" 6. Remove a specific entry from the phone book. Display the proper message if it was removed , or if it did not exist. 7. Sort and display the entries of the phone book (Bonus). Java NetBeans.

If IBM has the probability distribution shown in the table above, what is IBM’s standard deviation?

Instruction: Type your answer in the unit of percentage point, and round to three decimal places. E.g., if your answer is 0.0106465 or 1.06465%, should type ONLY the number 1.065, neither 0.0106465, 0.0106, nor 1.065%, because I already have percentage sign at the end of the problem. Otherwise, Blackboard will treat it as a wrong answer.

Suppose that 20% of all homeowners in an earthquake-prone area of California are insured against earthquake damage. Four homeowners are selected at random; let x denote the number among the four who have earthquake insurance. (a) Find the probability distribution of x. (Hint: Let S denote a homeowner who has insurance and F one who does not. Then one possible outcome is SFSS, with probability (.2)(.8)(.2)(.2) and associated x value of 3. There are 15 other outcomes.)

2. In 2009 it was reported that 45% of all car accidents in Buffalo were alcohol related. Suppose we take a random sample of 200 car accidents in Buffalo and let X be the number which are alcohol related.

a. Define the random variable X of the form )

2. Find the probability that fewer than half (less than 100) were alcohol related.

3. Find the prob. that between 60 and 80, inclusive, were alcohol related.

4. Find the probability at least 90 were alcohol related.

Sam is writing a research paper for his graduation. On his draft of the paper, there are an average of 5 typos on each page. Assume each typo is independent.

d) What is the probability that Sam has 10 typos in Chapter 1 and 10 typos in Chapter 8 (which is 5 pages)?

e) It turns out that the first 4 chapters have the same number of pages (4 pages), what is the probability that Sam has 18 to 20 typos (inclusive) in 2 of the 4 chapters of his draft?

A professor has a quiz with two questions. Assume that the probability of answering question 1 correctly is x, the probability of answering question 2 is y, and the two questions are independent. Let S be the number of questions that a student will get correct (so S=0, 1, or 2). The professor wishes to choose x and y to maximize V(S) subject to E(S)=1.4 (70% of 2 questions). Find x and y using the definitions of expected value and variance, and the method of Lagrange Multipliers.

Imagine an archer is able to hit the bull’s-eye 82% of the time. Assume each shot is independent of all others. If the archer shoots 10 arrows, then the probability that every arrow misses the bull’s-eye is a value between: ?

In problem above: The expected value of the number of arrows that hit the bull’s-eye, is exactly equal to: ?

In problem above: The probability that the archer hits the bull’s-eye more often than they miss, is a value between: ?

Please show all steps and how to calculate.